Pairwise efficiency and monotonicity imply Pareto efficiency in (probabilistic) object allocation

Tom Demeulemeester () and Bettina Klaus ()
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Tom Demeulemeester: Department of Economics, Maastricht University
Bettina Klaus: Department of Economics, University of Lausanne

Theoretical Economics, Forthcoming

Abstract: We consider object allocation problems with capacities where objects have to be assigned to agents. We show that a probabilistic monotonic lottery rule satisfies ex-post Pareto efficiency if and only if it satisfies ex-post pairwise efficiency and ex-post non-wastefulness. This result allows us to strengthen various existing characterization results, both for lottery rules and for deterministic rules, by replacing (ex-post) Pareto efficiency with (ex-post) pairwise efficiency and (ex-post) non-wastefulness, e.g., for characterizations of the Random Serial Dictatorship rule (Basteck, 2025), Trading Cycles rules (Pycia and Ünver, 2017), and Hierarchical Exchange rules (Pápai, 2000).

Keywords: Object allocation problems; group strategy-proofness; Maskin monotonicity; pairwise efficiency; Pareto efficiency (search for similar items in EconPapers)
JEL-codes: C78 D61 (search for similar items in EconPapers)
Date: 2026-08-04
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